For each m in R the line y=(m-1)x+n+2 always passes through a fixed point P .If ordinate of P is 3 then value of n is

If a,b,c in GP then the line a^(2)x+b^(2)y+ac=0 always passes through the fixed point

Chord joining two distinct points P(alpha^(2),k_(1)) and Q(k_(2),-(16)/(alpha)) on the parabola y^(2)=16x always passes through a fixed point.Find the co-ordinate of fixed point.

If l, m, n are in AP, then the line lx+my+n=0 will always pass through the point

Variable pairs of chords at right angles and drawn through any point P (with eccentric angle pi/4) on the ellipse x^2/4+y^2=1, to meet the ellipse at two points say A and B. If the line joining A and B passes through a fixed point Q(a, b) such that a^2 + b^2 has the value equal to m/n where m, n are relatively prime positive integers, find (m + n).

If normal at P on the curve y^2 - 3x^2 + y + 10 = 0 passes through the point (0, 3/2) ,then slope of tangent at P is n. The value of |n| is equal to

The line (K+1)^(2)x+Ky-2K^(2)-2=0 passes through the point (m, n) for all real values of K, then

Find an equation or the line that passes through the point P(2,\ 3,\ 1) and is parallel to the line of intersection o the planes x+2y-3z=4\ a n d\ x-2y+z=0 .

Show that for any value of m the equation mx- y=4m-3represents a straight line passing through a fixed point.What is the fixed point?